Subequivalence relations and positive-definite functions

DOI10.4171/GGD/71zbMath1186.37011arXiv0806.0430MaRDI QIDQ1046613

Todor Tsankov, Alexander S. Kechris, Adrian Ioana

Publication date: 22 December 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0430

zbMATH Keywords

classificationpercolationcostorbit equivalenceco-induced actionproperty (T)non-amenable groupspositive-definite functionssubequivalence relations

Mathematics Subject Classification ID

Descriptive set theory (03E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (18)

Invariant random subgroups of inductive limits of finite alternating groups ⋮ Approximations of standard equivalence relations and Bernoulli percolation at \(p_u\) ⋮ On the classification problem of free ergodic actions of nonamenable groups ⋮ Quantitative measure equivalence between amenable groups ⋮ Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors ⋮ Normalizers inside amalgamated free product von Neumann algebras ⋮ Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap ⋮ Localized cohomology and some applications of Popa's cocycle superrigidity theorem ⋮ Prime \(\mathrm{II}_1\) factors arising from irreducible lattices in products of rank one simple Lie groups ⋮ Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\) ⋮ Turbulence and Araki-Woods factors ⋮ Weak density of orbit equivalence classes of free group actions ⋮ Invariant random subgroups of the free group ⋮ Examples in the entropy theory of countable group actions ⋮ All properly ergodic Markov chains over a free group are orbit equivalent ⋮ Kazhdan groups have cost 1 ⋮ Global aspects of measure preserving equivalence relations and graphs ⋮ Stable decompositions and rigidity for products of countable equivalence relations

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• Functions of Conditionally Negative Type on Kazhdan Groups
• An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}
• Examples of groups that are measure equivalent to the free group

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